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Finding the Third Proportional to 60,648 and 131,160

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Solution

The third proportional to 60,648 and 131,160 is: 283,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,648 : 131,160 = 131,160 : x
  2. Step 2: Convert to fraction form
    60,648/131,160 = 131,160/x
  3. Step 3: Cross multiply
    60,648x = 131,160 × 131,160
  4. Step 4: Simplify right side
    60,648x = 17,202,945,600
  5. Step 5: Solve for x
    x = 17,202,945,600/60,648
  6. Step 6: Final answer
    x = 283,652.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.